Least Common Multiple of 985 and 993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 985 and 993 the smallest integer that is 978105 that is divisible by both numbers.

Least Common Multiple (LCM) of 985 and 993 is 978105.

LCM(985,993) = 978105

LCM of 985 and 993

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 985 and 993

LCM of 985 and 993 is 978105

Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 993. First we will calculate the prime factors of 985 and 993.

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 993.

LCM(985,993) = 31×51×1971×3311
LCM(985,993) = 978105

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Least Common Multiple of 985 and 993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 993, than apply into the LCM equation.

GCF(985,993) = 1
LCM(985,993) = ( 985 × 993) / 1
LCM(985,993) = 978105 / 1
LCM(985,993) = 978105

Properties of LCM 985 and 993

(i) The LCM of 993 and 985 is associative

LCM of 985 and 993 = LCM of 993 and 985

Related Least Common Multiples of 985

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 985 and 993

1. What is the LCM of 985 and 993?

Answer: LCM of 985 and 993 is 978105.

2. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

3. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

4. How to Find the LCM of 985 and 993?

Answer:

Least Common Multiple of 985 and 993 = 978105

Step 1: Find the prime factorization of 985

985 = 5 x 197

Step 2: Find the prime factorization of 993

993 = 3 x 331

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 978105 = 3 x 5 x 197 x 331

Step 4: Therefore, the least common multiple of 985 and 993 is 978105.